Strong hydrodynamic limit for attractive particle systems on Z

Details Strong hydrodynamic limit for attractive particle systems on Z Strong hydrodynamic limit for attractive particle systems on Z

2008-04-15

arxiv.org/abs/0804.2345v2

Electronic Journal of Probability. Vol 15, 2010, Paper no.1, 1--43

Mathematics

Probability

55 pages, LaTeX2e, corrected misprints, new title, revised abstract and introduction, references added. Mistakes in section 3

Scientific paper

We prove almost sure Euler hydrodynamics for a large class of attractive
particle systems on $\Z$ starting from an arbitrary initial profile. We
generalize earlier works by Sepp\"al\"ainen (1999) and Andjel et al. (2004).
Our constructive approach requires new ideas since the subadditive ergodic
theorem (central to previous works) is no longer effective in our setting.

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